Problem 1AYU: A ________ is a quantity that has both magnitude and direction. Problem 2AYU: If v is a vector, then v+( v )= ___. Problem 3AYU Problem 4AYU Problem 5AYU Problem 6AYU Problem 7AYU Problem 8AYU Problem 9AYU Problem 10AYU Problem 11AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 12AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 13AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 14AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 15AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 16AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 17AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 18AYU: In Problems 11-18, use the vectors in the figure at the right to graph each of the following... Problem 19AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 20AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 21AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 22AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 23AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 24AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 25AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 26AYU: In Problems 19-26, use the figure at the right. Determine whether each statement given is true or... Problem 27AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 28AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 29AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 30AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 31AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 32AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 33AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 34AYU: In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj... Problem 35AYU: In Problems 37-42, find v . v=3i4j Problem 36AYU: In Problems 37-42, find v . v=5i+12j Problem 37AYU: In Problems 37-42, find v . v=ij Problem 38AYU: In Problems 37-42, find v . v=ij Problem 39AYU: In Problems 37-42, find v . v=2i+3j Problem 40AYU: In Problems 37-42, find v . v=6i+2j Problem 41AYU: Problems 3542, find v. v=cosi+sinj Problem 42AYU: Problems 3542, find v. v=i+cotj Problem 43AYU: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . 2v+3w Problem 44AYU: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . 3v2w Problem 45AYU: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . vw Problem 46AYU: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v+w Problem 47AYU: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v w Problem 48AYU: In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v + w Problem 49AYU Problem 50AYU: In Problems 49-54, find the unit vector in the same direction as v . v=3j Problem 51AYU Problem 52AYU Problem 53AYU: In Problems 49-54, find the unit vector in the same direction as v . v=ij Problem 54AYU: In Problems 49-54, find the unit vector in the same direction as v . v=2ij Problem 55AYU Problem 56AYU Problem 57AYU Problem 58AYU Problem 59AYU: If v=2ijandw=xi+3j , find all numbers x for which v+w =5 . Problem 60AYU: If P=( 3,1 )andQ=( x,4 ) , find all numbers x such that the vector represented by PQ has length 5. Problem 61AYU Problem 62AYU Problem 63AYU Problem 64AYU Problem 65AYU Problem 66AYU Problem 67AYU Problem 68AYU Problem 69AYU Problem 70AYU Problem 71AYU Problem 72AYU Problem 73AYU Problem 74AYU Problem 75AYU Problem 76AYU: Force Vectors A man pushes a wheelbarrow up an incline of 20 with a force of 100 pounds. Express the... Problem 77AYU Problem 78AYU Problem 79AYU: Finding the Actual Speed and Direction of an Aircraft A Hoeing 787 Dreamliner maintains a constant... Problem 80AYU: Finding the Actual Speed and Direction of an Aircraft An Airbus A320 jet maintains a constant... Problem 81AYU Problem 82AYU Problem 83AYU Problem 84AYU: Weight of a Car A magnitude of 1200 pounds of force is required to prevent a car from rolling down a... Problem 85AYU: Correct Direction for Crossing a River A river has a constant current of 3 km/h. At what angle to a... Problem 86AYU: Finding the Correct Compass Heading The pilot of an aircraft wishes to head directly east but is... Problem 87AYU: Charting a Course A helicopter pilot needs to travel to a regional airport 25 miles away. She flies... Problem 88AYU: Crossing a River A captain needs to pilot a boat across a river that is 2 km wide. The current of... Problem 89AYU: Static Equilibrium A weight of 1000 pounds is suspended from two cables, as shown in the figure.... Problem 90AYU: Static Equilibrium A weight of 800 pounds is suspended from two cables, as shown in the figure. What... Problem 91AYU: Static Equilibrium A tightrope walker located at a certain point deflects the rope as indicated in... Problem 92AYU: Static Equilibrium Repeat Problem 91 if the angle on the left is, the angle on the right is, and the... Problem 93AYU: Static Friction A 20-pound box sits at rest on a horizontal surface, and there is friction between... Problem 94AYU: Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal... Problem 95AYU: Inclined Ramp A box sitting on a horizontal surface is attached to a second box sitting on an... Problem 96AYU Problem 97AYU: Truck Pull At a county fair truck pull, two pickup trucks are attached to the back end of a monster... Problem 98AYU: Removing a Slump A farmer wishes to remove a stump from a field by pulling it out with his tractor.... Problem 99AYU Problem 100AYU: Computer Graphics Refer to Problem 97. The points (3,0),(1,2),(3,1),and(1,3) are the vertices of a... Problem 101AYU: Static Equilibrium Show on the following graph the force needed for the object at P to be in static... Problem 102AYU: Challenge Problem Landscaping To drag a 500pound and boulder into place. Adam, Bill, and Chuck... Problem 103AYU: Challenge Problem See Problem 102. If Bill pulls due east with of force, then what direction does... Problem 104AYU: Explain in your own words what a vector is. Give an example of a vector. Problem 105AYU: Write a brief paragraph comparing the algebra of complex numbers and the algebra of vectors. Problem 106AYU: Explain the difference between an algebraic vector and a position vector. Problem 107AYU Problem 108AYU Problem 109AYU Problem 110AYU: Problems 103-106 are based on material learned earlier in the course. The purpose of these problems... Problem 111AYU Problem 112AYU Problem 113AYU Problem 114AYU Problem 115AYU Problem 116AYU format_list_bulleted